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CD, BE divide ABC in 4 parts of same area ? (2023 Novosibirsk Oral Geo Oly 9.1)

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September 4, 2023
geometryareas

Problem Statement

In the triangle ABCABC on the sides ABAB and ACAC, points DD and E are chosen, respectively. Can the segments CDCD and BEBE divide ABCABC into four parts of the same area? https://cdn.artofproblemsolving.com/attachments/1/c/3bbadab162b22530f1b254e744ecd068dea65e.png
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